Information on Result #613103
Linear OA(4136, 1024, F4, 37) (dual of [1024, 888, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4154, 1043, F4, 37) (dual of [1043, 889, 38]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(4141, 1029, F4, 38) (dual of [1029, 888, 39]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(4137, 1030, F4, 37) (dual of [1030, 893, 38]-code) | [i] | ✔ | |
| 4 | Linear OA(4147, 1035, F4, 39) (dual of [1035, 888, 40]-code) | [i] | ✔ | |
| 5 | Linear OA(4137, 1035, F4, 36) (dual of [1035, 898, 37]-code) | [i] | ✔ | |
| 6 | Linear OA(4139, 1037, F4, 37) (dual of [1037, 898, 38]-code) | [i] | ✔ | |
| 7 | Linear OA(4155, 1041, F4, 41) (dual of [1041, 886, 42]-code) | [i] | ✔ | |
| 8 | Linear OA(4156, 1044, F4, 41) (dual of [1044, 888, 42]-code) | [i] | ✔ | |
| 9 | Linear OA(4154, 1042, F4, 40) (dual of [1042, 888, 41]-code) | [i] | ✔ | |
| 10 | Linear OA(4140, 1041, F4, 37) (dual of [1041, 901, 38]-code) | [i] | ✔ | |
| 11 | Linear OA(4141, 1044, F4, 37) (dual of [1044, 903, 38]-code) | [i] | ✔ | |
| 12 | Linear OA(4139, 1042, F4, 36) (dual of [1042, 903, 37]-code) | [i] | ✔ | |
| 13 | Linear OA(4163, 1051, F4, 42) (dual of [1051, 888, 43]-code) | [i] | ✔ | |
| 14 | Linear OA(4146, 1054, F4, 37) (dual of [1054, 908, 38]-code) | [i] | ✔ | |
| 15 | Linear OA(4143, 1051, F4, 36) (dual of [1051, 908, 37]-code) | [i] | ✔ | |
| 16 | Linear OA(4171, 1059, F4, 43) (dual of [1059, 888, 44]-code) | [i] | ✔ | |
| 17 | Linear OA(4148, 1058, F4, 37) (dual of [1058, 910, 38]-code) | [i] | ✔ | |
| 18 | Linear OA(4149, 1062, F4, 37) (dual of [1062, 913, 38]-code) | [i] | ✔ | |
| 19 | Linear OA(4146, 1059, F4, 36) (dual of [1059, 913, 37]-code) | [i] | ✔ | |
| 20 | Linear OA(4181, 1067, F4, 45) (dual of [1067, 886, 46]-code) | [i] | ✔ | |
| 21 | Linear OA(4182, 1070, F4, 45) (dual of [1070, 888, 46]-code) | [i] | ✔ | |
| 22 | Linear OA(4179, 1067, F4, 44) (dual of [1067, 888, 45]-code) | [i] | ✔ | |
| 23 | Linear OA(4151, 1067, F4, 37) (dual of [1067, 916, 38]-code) | [i] | ✔ | |
| 24 | Linear OA(4152, 1070, F4, 37) (dual of [1070, 918, 38]-code) | [i] | ✔ | |
| 25 | Linear OA(4149, 1067, F4, 36) (dual of [1067, 918, 37]-code) | [i] | ✔ | |
| 26 | Linear OA(4189, 1077, F4, 46) (dual of [1077, 888, 47]-code) | [i] | ✔ | |
| 27 | Linear OA(4155, 1078, F4, 37) (dual of [1078, 923, 38]-code) | [i] | ✔ | |
| 28 | Linear OA(4195, 1083, F4, 47) (dual of [1083, 888, 48]-code) | [i] | ✔ | |
| 29 | Linear OA(4158, 1086, F4, 37) (dual of [1086, 928, 38]-code) | [i] | ✔ | |
| 30 | Linear OA(4155, 1083, F4, 36) (dual of [1083, 928, 37]-code) | [i] | ✔ | |
| 31 | Linear OA(4209, 1097, F4, 49) (dual of [1097, 888, 50]-code) | [i] | ✔ | |
| 32 | Linear OA(4203, 1088, F4, 48) (dual of [1088, 885, 49]-code) | [i] | ✔ | |
| 33 | Linear OA(4207, 1095, F4, 48) (dual of [1095, 888, 49]-code) | [i] | ✔ | |
| 34 | Linear OA(4158, 1088, F4, 36) (dual of [1088, 930, 37]-code) | [i] | ✔ | |
| 35 | Linear OA(4216, 1100, F4, 50) (dual of [1100, 884, 51]-code) | [i] | ✔ | |
| 36 | Linear OA(4206, 1093, F4, 49) (dual of [1093, 887, 50]-code) | [i] | ✔ | |
| 37 | Linear OA(4207, 1095, F4, 49) (dual of [1095, 888, 50]-code) | [i] | ✔ | |
| 38 | Linear OA(4203, 1091, F4, 48) (dual of [1091, 888, 49]-code) | [i] | ✔ | |
| 39 | Linear OA(4161, 1093, F4, 37) (dual of [1093, 932, 38]-code) | [i] | ✔ | |
| 40 | Linear OA(4162, 1095, F4, 37) (dual of [1095, 933, 38]-code) | [i] | ✔ | |
| 41 | Linear OA(4158, 1091, F4, 36) (dual of [1091, 933, 37]-code) | [i] | ✔ | |
| 42 | Linear OA(4170, 1055, F4, 43) (dual of [1055, 885, 44]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 43 | Linear OA(4169, 1053, F4, 43) (dual of [1053, 884, 44]-code) | [i] | ✔ | |
| 44 | Linear OA(4162, 1046, F4, 42) (dual of [1046, 884, 43]-code) | [i] | ✔ | |
| 45 | Linear OA(4168, 1060, F4, 42) (dual of [1060, 892, 43]-code) | [i] | ✔ | |
| 46 | Linear OA(4167, 1058, F4, 42) (dual of [1058, 891, 43]-code) | [i] | ✔ | |
| 47 | Linear OA(4166, 1056, F4, 42) (dual of [1056, 890, 43]-code) | [i] | ✔ | |
| 48 | Linear OA(4165, 1054, F4, 42) (dual of [1054, 889, 43]-code) | [i] | ✔ | |
| 49 | Linear OA(4153, 1037, F4, 40) (dual of [1037, 884, 41]-code) | [i] | ✔ | |
| 50 | Linear OA(4160, 1051, F4, 41) (dual of [1051, 891, 42]-code) | [i] | ✔ | |
| 51 | Linear OA(4159, 1049, F4, 41) (dual of [1049, 890, 42]-code) | [i] | ✔ | |
| 52 | Linear OA(4157, 1047, F4, 40) (dual of [1047, 890, 41]-code) | [i] | ✔ | |
| 53 | Linear OA(4158, 1047, F4, 41) (dual of [1047, 889, 42]-code) | [i] | ✔ | |
| 54 | Linear OA(4156, 1045, F4, 40) (dual of [1045, 889, 41]-code) | [i] | ✔ | |
| 55 | Linear OA(4149, 1038, F4, 39) (dual of [1038, 889, 40]-code) | [i] | ✔ | |
| 56 | Linear OA(4143, 1032, F4, 38) (dual of [1032, 889, 39]-code) | [i] | ✔ | |
| 57 | Linear OA(4138, 1032, F4, 37) (dual of [1032, 894, 38]-code) | [i] | ✔ | |
| 58 | Linear OA(4138, 1037, F4, 36) (dual of [1037, 899, 37]-code) | [i] | ✔ | |
| 59 | Linear OA(4145, 1051, F4, 37) (dual of [1051, 906, 38]-code) | [i] | ✔ | |
| 60 | Linear OA(4144, 1049, F4, 37) (dual of [1049, 905, 38]-code) | [i] | ✔ | |
| 61 | Linear OA(4142, 1047, F4, 36) (dual of [1047, 905, 37]-code) | [i] | ✔ | |
| 62 | Linear OA(4143, 1047, F4, 37) (dual of [1047, 904, 38]-code) | [i] | ✔ | |
| 63 | Linear OA(4141, 1045, F4, 36) (dual of [1045, 904, 37]-code) | [i] | ✔ | |
| 64 | Linear OA(4145, 1055, F4, 36) (dual of [1055, 910, 37]-code) | [i] | ✔ | |
| 65 | Linear OA(4147, 1056, F4, 37) (dual of [1056, 909, 38]-code) | [i] | ✔ | |
| 66 | Linear OA(4144, 1053, F4, 36) (dual of [1053, 909, 37]-code) | [i] | ✔ | |
| 67 | Linear OOA(4136, 512, F4, 2, 37) (dual of [(512, 2), 888, 38]-NRT-code) | [i] | OOA Folding | |